Salun is assembling floor lamps. after 3 hours, there are 75 lamps available for shipment. after 5 hours, there are 97 lamps available for shipment. how many lamps are available at the end of an 8-hour shift?

130 lamps are available at the end of an 8-hour shift

Step-by-step explanation:

Salun is assembling floor lamps. After 3 hours, there are 75 lamps available for shipment. After 5 hours, there are 97 lamps available for shipment

LEt x be the number of hours and y be the lamps available

(3,75)   (5,97)

Make the equation y=mx+b

m is the slope and b is the y intercept

y=11x+b

Now solve for b using (3,75)

75 = 11(3) +b

75 = 33 + b

Subtract 33 from both sides

42= b

So equation becomes y= 11x + 42

To find available lamps at the end of 8 hours, plug in 8 for x

y= 11(8) + 42= 130

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

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step-by-step explanation: